Hello! I agree with the previous posters, but wanted to add one more piece of information. If you haven't already, I encourage you to build your person brand on LinkedIn and other easily utilized social channels. You can ask that your references speak to your skills and their experience with you in an endorsement there.
It has not been my experience that you are typically asked for letters of reference during the application process for most jobs. If you looking to become part of a specific program - Internships, Leadership development, etc. - It is more likely they will be looking to obtain references as you may not have as much work experience to draw from.
One last tidbit...recruiters are typically looking to find candidates they want to move forward with quickly and efficiently. Don't make it hard for them to see how great you could be for the job. If your best info is buried in a letter of rec that wasn't asked for and isn't part of your app package, you may be losing out on a chance to put your best foot forward.
Best of luck!